Here in blog we are discussing about ADF – Interview Aptitude Questions – Payilagam – Part – I . Some of them are discussed below :

1. Suppose that n is the product of three consecutive integers and that n is divisible by 7. Which of the following is not necessarily a divisor of n ?

a) 6 b) 14 c) 28 d) 42

SOLUTION :

Let us take the three consecutive numbers be 5, 6 and 7

=> Their product will be n = 5 * 6 * 7 = 210

This number 210 will be divisible by 6 and gives 35 as the quotient , and divisible by 14 and gives 15 as the quotient and by 42 gives 5 as the quotient with no remainders in all the cases.

But 28 doesn’t divide 210 exactly leaving some remainder.

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2. 66 games were played in a tournament where each player played against each of the rest. The number of players is ?

a)33 b)12 c)13 d)11

ANSWER : 33

Since each player played against each of the rest , it is possible only with 33 players i.e) 33 players against 33 players.

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3. A and B can do a work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. If the work was finished in the next 4 days , the number of days in which C alone could do work will be ?

a) 60 days b) 40 days c) 35 days d) 30 days

SOLUTION :

A’s one day’s work = 1 / 20

B’s one day’s work = 1 / 15

(A + B) ‘s one day work = 1 / 20 + 1 / 15

= 3 / 60 + 4 / 60

= 7 / 60

=> (A+B)’s 6 days work = 6 * 7 / 60

= 7 / 10

=> (A+C)’s 4 days work = 3 / 10

Then (A + C)’s one day work = 3 / 40

=> C’s one day work = 3 / 40 – 1 / 20

= 3 / 40 – 2 / 40 = 1 / 40

Thus C will complete the work in 40 days.

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4. How many meshes are there in 1 square meter of wire gauge if each mesh is 8mm long and 5 mm wide ?

a)2500 b)25000 c)250 d)250000

SOLUTION :

One square meter = 100 cm x 100 cm = 10000 square cm

One square cm = 10 mm x 10 mm = 100 sq. mm

=> 10000 sq.cm = 100 x 10000 = 1000000 sq. mm

Area of each mesh = 8 x 5 = 40 sq. mm

Number of meshes = 1000000 / 40 = 25,000

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5. There is a 4 inch cube painted on all the sides. This is cut into number of 1 inch cubes. What is the number of cubes , which have no painted sides.